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Finding the Fourth Proportional to 726,676, 1,002,812.88 and 408,724

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Solution

The fourth proportional to 726,676, 1,002,812.88 and 408,724 is: 564,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,676 : 1,002,812.88 = 408,724 : x
  2. Step 2: Convert to fraction form
    726,676/1,002,812.88 = 408,724/x
  3. Step 3: Cross multiply
    726,676x = 1,002,812.88 × 408,724
  4. Step 4: Simplify right side
    726,676x = 409,873,691,565.12
  5. Step 5: Solve for x
    x = 409,873,691,565.12/726,676
  6. Step 6: Final answer
    x = 564,039.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.